Research Interests
My research interest is broadly speaking analysis (geometric functional inequalities and spectral theory especially) on nilpotent Lie groups.
I'm currently interested in Hardy and isoperimetric inequalities.
Preprints (reverse chronologically ordered)
7. A note on the Pleijel theorem for $H$-type groups
submitted, (arXiv)
6. Almost isoperimetric extremisers for two classes of subriemannian probability measures
submitted, (arXiv)
5. Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups
submitted, (arXiv)
4. Spectral gap inequalities on nilpotent Lie groups in infinite dimensions
with E. B. Dagher, B. Zegarliński, M. Zhang, submitted, (arXiv)
3. On the Bakry-Émery calculus perturbed by a multiplication operator
to appear in Ann. Fac. Sci. Toulouse (arXiv), with C. Roberto and B. Zegarliński
2. A Bakry-Émery criterion for weighted contractivity and $L^2$-Hardy inequalities
Commun. Contemp. Math. Vol. 27, No. 04, 2450023 (2025) (journal) (arXiv)
1. Weyl asymptotics for functional difference operators with power to quadratic exponential potential
Proc. Amer. Math. Soc. 152 (2024), 3339-335 (journal) (arXiv)